Wireless communications device having map trellis decoder with partial sum tables and related methods

A wireless communications device includes a receiver, and a decoder coupled downstream from the receiver and using a modulation having memory for a received signal and to decode the received signal. The decoder decodes the received signal by at least determining a channel estimate for the received signal, generating partial sum tables based upon the channel estimate and possible values of a transmitted signal, correlating actual values of the received signal to the possible values from the partial sum tables to generate branch metrics associated with the modulation, and demodulating the received signal based upon the branch metrics using an iterative process based upon exchanging extrinsic information with an outer forward error correction (FEC) code.